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学术报告

标题：Inverse problem for the L-operator for Boussinesq’s equation under 3-point Dirichlet conditions

报告时间：2024年04月25日（星期四）14:30-15:20

报告地点：惟真楼309

主讲人：Andrey Badanin（俄罗斯圣彼得堡大学，教授）

主办单位：前沿交叉研究院

报告内容简介：

We solve an inverse problem for a third order differential operator under the 3-point Dirichlet conditions. The third-order operator is an L-operator in the Lax pair for the good Boussinesq equation and the inverse results for the 3-point problem are important for the integration of the Boussinesq on the circle. We restrict ourselves to the case of small coefficients, which corresponds to small initial data for the Boussinesq equation. We construct the mapping from the set of the coefficients to the set of spectral data and prove that this mapping is an analytic bijection on a neighborhood of the zero. This is joint work with E. Korotyaev.

主讲人简介：

Andrey Badanin，俄罗斯圣彼得堡大学教授，长期从事常/偏微分方程理论、算子理论等研究工作，取得了一系列的研究成果，相关工作发表在IMRN、JDE、JFA、Math N等学术期刊。